306349127680 has 192 divisors, whose sum is σ = 753586273440. Its totient is φ = 119488512000.

The previous prime is 306349127641. The next prime is 306349127683. The reversal of 306349127680 is 86721943603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306349127683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69291870 + ... + 69296290.

Almost surely, 2^306349127680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306349127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376793136720).

306349127680 is an abundant number, since it is smaller than the sum of its proper divisors (447237145760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306349127680 is a wasteful number, since it uses less digits than its factorization.

306349127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 306349127680 in words is "three hundred six billion, three hundred forty-nine million, one hundred twenty-seven thousand, six hundred eighty".